High Reynolds Channel Flows: Upstream interaction of various wall deformations
Abstract
The flow at high Reynolds number in the entrance of distorted channel is considered. We analyse the anticipated fluid responds to a downstream wall distortion, and we find that
the non linear upstream length $\Delta={\mbox{O}}(R_e^{1/7})$, using either a new asymptotic approach called
Successive Complementary Expansions Method (SCEM) with generalized asymptotic expansions and a modal analysis of the perturbed flow. Comparisons with Navier-Stokes solutions show that the mathematical model is well founded.
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